Mathematical Analysis

Differential Equations

What are implicit and explicit differential equations?

As seen above, an ordinary differential equation is one involving x, y, y', y'', and so on. Now add the idea that the order of the highest derivative is n. Thus, if a differential equation of order n has the form F(x, y', y'', …y(n)) = 0, then it is called an implicit differential equation. If it is of the form F(x, y', y'', … y(n - 1)) = y(n), it is called an explicit differential equation.


This is a web preview of the "The Handy Math Answer Book" app. Many features only work on your mobile device. If you like what you see, we hope you will consider buying. Get the App